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142105440 = 2535476299
BaseRepresentation
bin10000111100001…
…01101101100000
3100220101201000110
420132011231200
5242334333230
622033451320
73343606401
oct1036055540
9326351013
10142105440
117323aa14
123b710b40
1323596779
1414c319a8
15c7204b0
hex8785b60

142105440 has 96 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 37082624.

The previous prime is 142105433. The next prime is 142105451. The reversal of 142105440 is 44501241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19411 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2142105440 is an apocalyptic number.

142105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

142105440 is an abundant number, since it is smaller than the sum of its proper divisors (315123360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142105440 is a wasteful number, since it uses less digits than its factorization.

142105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142105440 is about 11920.7986309643. The cubic root of 142105440 is about 521.8394421134.

Adding to 142105440 its reverse (44501241), we get a palindrome (186606681).

The spelling of 142105440 in words is "one hundred forty-two million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 6299 7520 11280 12598 18897 22560 25196 31495 37794 50392 62990 75588 94485 100784 125980 151176 188970 201568 251960 296053 302352 377940 503920 592106 604704 755880 888159 1007840 1184212 1480265 1511760 1776318 2368424 2960530 3023520 3552636 4440795 4736848 5921060 7105272 8881590 9473696 11842120 14210544 17763180 23684240 28421088 35526360 47368480 71052720 142105440